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Finding the Fourth Proportional to 2,001.44, 3,003.15 and 905.69

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Solution

The fourth proportional to 2,001.44, 3,003.15 and 905.69 is: 1,358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.44 : 3,003.15 = 905.69 : x
  2. Step 2: Convert to fraction form
    2,001.44/3,003.15 = 905.69/x
  3. Step 3: Cross multiply
    2,001.44x = 3,003.15 × 905.69
  4. Step 4: Simplify right side
    2,001.44x = 2,719,922.92
  5. Step 5: Solve for x
    x = 2,719,922.92/2,001.44
  6. Step 6: Final answer
    x = 1,358.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.